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+--- Thread: Golden Tommy Numbers (/showthread.php?tid=983)
Golden Tommy Numbers - tommy1729 - 04/13/2015
Consider the Fibonacci or tribonacci like recursion
F(k) = f(1) + f(2) + ... + f(k-n)
This leads us to the related golden Tommy Numbers
G(n) for n a strict + integer,
The largest real root of :
x^n - x^(n-1) = 1
I know that g(1) till g(5) can be given by radicals and that g(1) = 2, g(2) = the golden mean.
Also lim g(n) = 1.
What else do we know about these numbers ?
Regards
Tommy1729
RE: Golden Tommy Numbers - tommy1729 - 04/13/2015
Sorry belongs in community or main.
RE: Golden Tommy Numbers - tommy1729 - 04/24/2015
G(n) grows like 1 + exp(2)/n.
I find it fascinating.
Regards
Tommy1729